2x 3y=5 3y-4z=3 4z 5x=7

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2x 3y=5 3y-4z=3 4z 5x=7
x+2y+4z=17 2x+y+z=7 3x+y+2z=11

X+2Y+4Z=17.①2X+Y+Z=7.②3X+Y+2Z=11.③③-②,得:x+z=4.④②+③-①,得:4x-z=1...⑤④+⑤,得:5x=5x=1代入④,得:1+z=4z=3再代入②,得:2

试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y)

有这样的公式:a^3+b^3+c^2-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)左边减右边,证明:(x+y-2z)^3+(y+z-2x)^3+(z+x-2y)^3-3(x+y

x+y+z=2 4x+2y+z=4 2x+3y+z=1

x+y+z=2(1)4x+2y+z=4(2)2x+3y+z=1(3)(2)-(1)3x+y=2(4)(2)-(3)2x+y=3(5)(4)-(5)所以x=-1y=3-2x=5z=2-x-y=-2

{x+y+z=4 {2y+z=0 {3x+2y-4z=-1

x+y+z=4(1)2y+z=0(2)3x+2y-4z=-1(3)(1)×3-(3)y+7z=13(4)(4)×2-(2)14z-z=26-013z=26所以z=2y=13-7z=-1x=4-y-z=

x-y+4z=10,x+3y+2z=2,x+2y+3z=11.

x-y+4z=10(1)x+3y+2z=2(2)x+2y+3z=11(3)(2)-(1):4y-2z=-8,即2y-z=-4(4)(3)-(1):3y-z=1(5)(5)-(4):y=5代入(5):z

2x-y+2z=-17 3x+y-3z=-4 x+y+z=6

2x-y+2z=-17①3x+y-3z=-4②x+y+z=6③③*2:2x+2y+2z=12④④-①:3y=29y=29/3带入③:x+z=-11/3⑤带入②:3x-3z=-41/3即x-z=-41/

2x+y+z=4 x+2y+z=8 x +y+2z=24

x=-5y=-1z=15需要过程的话再H我再问:帮我再解一道题,谢谢x+2y=3y+2z=4z+2x=5需要过程

解方程:{2x+3y+z=7,x+y+z=4,3x+y-z=-4

(1)2x+3y+z=7(2)x+y+z=4(3)3x+y-z=-4(1)和(2)相减得(4)x+2y=3(2)和(3)相加得(5)4x+2y=0(4)和(5)相减:3x=-3;x=-1代入到(4)2

{x+2y+z=4,x+y+2z=-1,2x+y+z=1

x+2y+z=4(1),x+y+2z=-1(2),2x+y+z=1(3)三式相加:4x+4y+4z=4,∴x+y+z=1(4)(1)-(4)得y=3(2)-(4)得z=-2(3)-(4)得x=0

x+2y+3z=10,x-y+4z=10,x+3y+2z=2

x+2y+3z=10,(1)x-y+4z=10,(2)x+3y+2z=2(3)(1)-(2)得:3y-z=0z=3y(4)(3)-(2)得:4y-2z=-8(5)(4)代入(5)得:-2y=-8y=4

1.x+y=16,y+z=12,z+x=102.3x-y+z=4,2x+3y-z=12,x+y+z=63.x+y+z=6

1.x+y=16①y+z=12②z+x=10③①-②x-z=4④③+④2x=14x=7⑤⑤代入①y=9⑥⑥代入②z=3x=7,y=9,z=3(2)3x-y+z=4①2x+3y-z=12②x+y+z=6

x+y+z=4 2x+3y-z=6 3x+2y+2z=10

X+Y+Z=4,2*(X+Y+Z)+X=10,可以解出X=2.套入第二个和第一个.4+3Y-Z=66+2Y+2Z=10那么3Y=Z+2,2Y+2Z=4.Y=1,X=1X+Y+Z=4=2+1=12x+3

1.已知x,y,z满足2│x-y│+(根号2y-z)+z平方-z+(1/4)=0,求x,y,z值.

1.z²-z+1/4=(z-1/2)².绝对值、根号、平方数都是非负的,而相加为0.所以都为0.即x=y,2y=z,z=1/2.所以x=y=1/4,z=1/2.2.2002x200

已知x+4y+z=24,2x+7y=2z=41,求x+y+z

是不是数学大本上的一个题啊、2z=41,z=20.5x-4y=24-20.5=3.52(x-4y)-(2x+7y)=(2x-8y)-(2x+7y)=7.你题是不是打错了啊?应该是2x+7y+2z=41

2x+5y+4z=6,3x+y-7z=-4,x+y-z=?

已知,2x+5y+4z=6,3x+y-7z=-4,可得:2(2x+5y+4z)+3(3x+y-7z)=2*6+3*(-4)=0;即有:13(x+y-z)=0,所以,x+y-z=0.

2x+y+z=2 x+2y+z=4 x+y+2z=6

2x+y+z=2(1)x+2y+z=4(2)x+y+2z=6(3)(1)+(2)+(3)4x+4y+4z=12x+y+z=3(4)(1)-(4),x=-1(2)-(4),y=1(3)-(4),z=3

已知,x/2=y/3=z/4,则(2x+y-z)/(3x-2y+z)=?

即y=3x/2z=2x所以原式=(2x+3x/2-2x)/(3x-3x+2x)=(3x/2)/(2x)=3/4

(z-x)2=4(x-y)(y-z),求2x+2z-4y=

解题思路:等式两侧展开后,移项,再由完全平方公式重新组合即可得出(x+z-2y)²=0,从而求出2x+2z-4y解题过程:

x=y/z=z/3,x+y+z =12,求2x+3y+4z是多少,

3元一次方程,好像是初一的问题哦.根据前面两个等式可以得出x=3zy=z(平方)/32x+3y+4z=2*(3z)+3*(z方/3)+4z现在变成了一元二次方程,你应该会解吧.

x+y+z=4 x-2y+z=-2 x+2y+3z=0求解

x+y+z=4(1)x-2y+z=-2(2)x+2y+3z=0(3)(1)-(2)3y=6y=2代入(1),(3)x+z=2(4)x+3z=-6(5)(4)-(5)-2z=8z=-4x=2-z=6所以